First, I believe you have a typo in your first statement: If r2c9=2, then r5c9=2. It should be If r2c9=2, then r5c9<>2

My understanding of a kite is based on the condition that the cells in the pivot box are false whereas your statement is based on the condition that the hinge cells are true. Using your example,
If r9c2=2 then r3c7<>2, then r3c12=2, not r2c1
If r3c7=2 thenr2c9<>2, then r5c9=2
If r2c7=2 then both r3c7 & r2c9<>2, then r3c12=2 and r5c9=2

My understanding of a kite is based on the condition that the cells in the pivot box are false

Ted, I shouldn't get into theory, but I'm trying to remember when multi-coloring was first explained to me. If the premise is that the pivot box cells are false, then what, since they can both be false?

But if they're based on the premise that they're true, then we have action, since they both can't be true, then one or the other of the other half of the strong links must be true, thus the pincer situation.

As for me, I think of a Kite as two strong links -- one in a row and one in a column. An endpoint from each strong link must be in the same box. There must also be an empty cell where the row and column intersect.